% MESHES3D 3D Surface Meshes
% Version 1.22 06-Jun-2018 .
%
%   Creation, visualization, and manipulation of 3D surface meshes or
%   polyhedra.
%
%   Meshes and Polyhedra are represented by a couple of variables {V, F}:
%   V: Nv-by-3 array of vertices: [x1 y1 z1; ... ; xn yn zn];
%   F: is either a NF-by-3 or NF-by-4 array containing reference for
%   vertices of each face, or a NF-by-1 cell array, where each cell is an
%   array containing a variable number of node indices.
%   For some functions, the array E of edges is needed. It consists in a
%   NE-by-2 array containing indices of source and target vertices. 
%
%   The library provides function to create basic polyhedric meshes (the
%   five platonic solids, plus few others), as well as functions to perform
%   basic computations (surface area, normal angles, face centroids...).
%   The 'MengerSponge' structure is an example of mesh that is not simply
%   connected (multiple tunnels in the structure).
%
%   The drawMesh function is mainly a wrapper to the Matlab 'patch'
%   function, allowing passing arguments more quickly.
%
%   Example
%     % create a soccer ball mesh and display it
%     [v, e, f] = createSoccerBall;
%     drawMesh(v, f, 'faceColor', 'g', 'linewidth', 2);
%     axis equal; view(3);
%  
%
% General processing on meshes
%   smoothMesh                 - Smooth mesh by replacing each vertex by the average of its neighbors.
%   subdivideMesh              - Subdivides each face of the mesh.
%   meshVertexClustering       - Simplifies a mesh using vertex clustering.
%   triangulateFaces           - Convert face array to an array of triangular faces.
%   transformMesh              - Applies a 3D affine transform to a mesh.
%   mergeCoplanarFaces         - Merge coplanar faces of a polyhedral mesh.
%   meshFacePolygons           - Returns the set of polygons that constitutes a mesh.
%   meshFaceCentroids          - Compute centroids of faces in a mesh.
%   meshFaceNormals            - Compute normal vector of faces in a 3D mesh.
%   meshVertexNormals          - Compute normals to a mesh vertices.
%
% Intersections and clipping
%   intersectLineMesh3d        - Intersection points of a 3D line with a mesh.
%   intersectPlaneMesh         - Compute the polygons resulting from plane-mesh intersection.
%   polyhedronSlice            - Intersect a convex polyhedron with a plane.
%   clipMeshVertices           - Clip vertices of a surfacic mesh and remove outer faces.
%   clipConvexPolyhedronHP     - Clip a convex polyhedron by a plane.
%   cutMeshByPlane             - Cut a mesh by a plane.
%   concatenateMeshes          - Concatenate multiple meshes.
%   splitMesh                  - Return the connected components of a mesh.
%
% Geometric measures on meshes
%   meshSurfaceArea            - Surface area of a polyhedral mesh.
%   trimeshSurfaceArea         - Surface area of a triangular mesh.
%   meshFaceAreas              - Surface area of each face of a mesh.
%   meshVolume                 - Volume of the space enclosed by a polygonal mesh.
%   meshEdgeLength             - Lengths of edges of a polygonal or polyhedral mesh.
%   meshDihedralAngles         - Dihedral at edges of a polyhedal mesh.
%   polyhedronCentroid         - Compute the centroid of a 3D convex polyhedron.
%   tetrahedronVolume          - Signed volume of a tetrahedron.
%   polyhedronNormalAngle      - Compute normal angle at a vertex of a 3D polyhedron.
%   polyhedronMeanBreadth      - Mean breadth of a convex polyhedron.
%   trimeshMeanBreadth         - Mean breadth of a triangular mesh.
%   isPointInMesh              - Check if a point is inside a 3D mesh.
%   distancePointMesh          - Shortest distance between a (3D) point and a triangle mesh.
%
% Utility functions
%   meshFace                   - Return the vertex indices of a face in a mesh.
%   meshFaceEdges              - Computes edge indices of each face.
%   meshFaceNumber             - Returns the number of faces in this mesh.
%   meshEdges                  - Computes array of edge vertex indices from face array.
%   meshEdgeFaces              - Compute index of faces adjacent to each edge of a mesh.
%   trimeshEdgeFaces           - Compute index of faces adjacent to each edge of a triangular mesh.
%   meshFaceAdjacency          - Compute adjacency list of face around each face.
%   meshAdjacencyMatrix        - Compute adjacency matrix of a mesh from set of faces.
%   checkMeshAdjacentFaces     - Check if adjacent faces of a mesh have similar orientation.
%   meshBoundary               - Boundary of a mesh as a collection of 3D line strings.
%   meshBoundaryEdgeIndices    - Indices of boundary edges of a mesh.
%   meshBoundaryVertexIndices  - Indices of boundary vertices of a mesh.
%
% Basic edition on meshes
%   removeMeshVertices         - Remove vertices and associated faces from a mesh.
%   mergeMeshVertices          - Merge two vertices and removes eventual degenerated faces.
%   removeMeshFaces            - Remove faces from a mesh by face indices.
%
% Mesh cleanup
%   trimMesh                   - Reduce memory footprint of a polygonal mesh.
%   isManifoldMesh             - Check whether the input mesh may be considered as manifold.
%   ensureManifoldMesh         - Apply several simplification to obtain a manifold mesh.
%   removeDuplicateFaces       - Remove duplicate faces in a face array.
%   removeMeshEars             - Remove vertices that are connected to only one face.
%   removeInvalidBorderFaces   - Remove faces whose edges are connected to 3, 3, and 1 faces.
%   collapseEdgesWithManyFaces - removes mesh edges adjacent to more than two faces
%
% Creation and conversion
%   surfToMesh                 - Convert surface grids into face-vertex mesh.
%   triangulateCurvePair       - Compute triangulation between a pair of 3D open curves.
%   triangulatePolygonPair     - Compute triangulation between a pair of 3D closed curves.
%   cylinderMesh               - Create a 3D mesh representing a cylinder.
%   sphereMesh                 - Create a 3D mesh representing a sphere.
%   ellipsoidMesh              - Convert a 3D ellipsoid to face-vertex mesh representation.
%   torusMesh                  - Create a 3D mesh representing a torus.
%   curveToMesh                - Create a mesh surrounding a 3D curve.
%   boxToMesh                  - Convert a box into a quad mesh with the same size.
%   minConvexHull              - Return the unique minimal convex hull of a set of 3D points.
%
% Create meshes representing polyhedra
%   polyhedra                  - Index of classical polyhedral meshes.
%   createCube                 - Create a 3D mesh representing the unit cube.
%   createOctahedron           - Create a 3D mesh representing an octahedron.
%   createCubeOctahedron       - Create a 3D mesh representing a cube-octahedron.
%   createIcosahedron          - Create a 3D mesh representing an Icosahedron.
%   createDodecahedron         - Create a 3D mesh representing a dodecahedron.
%   createTetrahedron          - Create a 3D mesh representing a tetrahedron.
%   createRhombododecahedron   - Create a 3D mesh representing a rhombododecahedron.
%   createTetrakaidecahedron   - Create a 3D mesh representing a tetrakaidecahedron.
%   createSoccerBall           - Create a 3D mesh representing a soccer ball.
%   createStellatedMesh        - Replaces each face of a mesh by a pyramid.
%   createDurerPolyhedron      - Create a mesh representing Durer's polyhedron .
%   createMengerSponge         - Create a cube with an inside cross removed.
%   steinerPolytope            - Create a steiner polytope from a set of vectors.
%
% Drawing functions
%   drawFaceNormals            - Draw normal vector of each face in a mesh.
%   drawMesh                   - Draw a 3D mesh defined by vertex and face arrays.
%
% I/O functions
%   readMesh_off               - Read mesh data stored in OFF format.
%   readMesh_ply               - Read mesh data stored in PLY (Stanford triangle) format.
%   writeMesh_off              - Writes a mesh into a text file in OFF format.
%   writeMesh_ply              - Writes a mesh into a text file in PLY format.
%

% ------
% Author: David Legland
% e-mail: david.legland@inra.fr
% Created: 2005-11-07
% Project homepage: http://github.com/mattools/matGeom
% http://www.pfl-cepia.inra.fr/index.php?page=geom3d
% Copyright 2005 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas).

help(mfilename);

% Deprecated:

%   drawPolyhedron             - Draw polyhedron defined by vertices and faces.
%   vertexNormal               - Compute normals to a mesh vertices.

% Others

